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An Introduction to Complex Analysis in Several Variables (Volume 7) (North-Holland Mathematical Library, Volume 7) - Hardcover

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9780444884466: An Introduction to Complex Analysis in Several Variables (Volume 7) (North-Holland Mathematical Library, Volume 7)

Synopsis

A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool.

The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L2 techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities.

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Review

"...third edition of this well-known, self-contained exposition of complex analysis from point of view of the theory of partial differential equations..." --Bulletin of the American Mathematical Society

"...this new edition ... remains a basic reference and compulsory reading for the new generations of complex analysts." --Revue Roumaine de Mathématiques Pures et Appliquées

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  • PublisherNorth Holland
  • Publication date1990
  • ISBN 10 0444884467
  • ISBN 13 9780444884466
  • BindingHardcover
  • LanguageEnglish
  • Edition number3
  • Number of pages276
  • Rating
    • 4.80 out of 5 stars
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9781493302734: An Introduction to Complex Analysis in Several Variables, Third Edition (North-Holland Mathematical Library)

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Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. **International edition** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-8342521936

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A number of monographs of various aspects of complex analysis in several variables have appeared since the first version of this book was published, but none of them uses the analytic techniques based on the solution of the Neumann Problem as the main tool. The additions made in this third, revised edition place additional stress on results where these methods are particularly important. Thus, a section has been added presenting Ehrenpreis' ``fundamental principle'' in full. The local arguments in this section are closely related to the proof of the coherence of the sheaf of germs of functions vanishing on an analytic set. Also added is a discussion of the theorem of Siu on the Lelong numbers of plurisubharmonic functions. Since the L2 techniques are essential in the proof and plurisubharmonic functions play such an important role in this book, it seems natural to discuss their main singularities. Englisch. Seller Inventory # 9780444884466

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